29401106800 has 120 divisors (see below), whose sum is σ = 78524001920. Its totient is φ = 10505548800.

The previous prime is 29401106797. The next prime is 29401106837. The reversal of 29401106800 is 860110492.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70006 + ... + 252394.

Almost surely, 2^29401106800 is an apocalyptic number.

29401106800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29401106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39262000960).

29401106800 is an abundant number, since it is smaller than the sum of its proper divisors (49122895120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

29401106800 is a wasteful number, since it uses less digits than its factorization.

29401106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182451 (or 182440 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The spelling of 29401106800 in words is "twenty-nine billion, four hundred one million, one hundred six thousand, eight hundred".